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The convergence of generalized Lanczos methods for large unsymmetric eigenproblems, SIAM Journal on Matrix Analysis and Applications, 16 (3) (1995): 843-862.
A block incomplete orthogonalization method for large nonsymmetric eigenproblems, BIT, 34 (4) (1995): 516-539.
On IOM(q): the incomplete orthogonalization method for large unsymmetric linear systems, Numerical Linear Algebra with Applications, 3 (6) (1996): 491-512.
Refined iterative algorithms based on Arnoldi's process for large unsymmetric eigenproblems, Linear Algebra and Its Applications,259 (1997): 1-23.
A refined iterative algorithm based on the block Arnoldi process for large unsymmetric eigenproblems, Linear Algebra and Its Applications, 270（1998）: 171-189.
Generalized block Lanczos methods for large unsymmetric eigenproblems, Numerische Mathematik, 80 (2)（1998）:239-266.
解非对称线性方程组的不完全广义最小残量法, 中国科学（A辑）, 28 (8)（1998）: 694-702.
On IGMRES: an incomplete generalized minimal residual method for large unsymmetric linear systems, Science in China (Series A), 41 (12)(1998): 1178-1188.
A variation on the block Arnoldi method for large unsymmetric eigenproblems, Acta Mathematica Applicatae Sinica, 14 (4) (1998): 425-432.
求解大规模非Hermite线性方程组的Krylov子空间型方法的收敛性分析, 数学学报, 41 (5) (1998): 915-924.The convergence of Krylov subspace methods for large unsymmetric linear systems, Acta Mathematica Sinica-New Series, 14 (4) (1998): 507-518.
Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm, Linear Algebra and Its Applications, 287 (1999): 191-214.
解大规模矩阵特征问题的复合正交投影方法, 中国科学（A辑)，29 (3) (1999): 224-232. Composite orthogonal projection methods for large matrix eigenproblems, Science in China (Series A), 42 (6) (1999): 577-585.
Arnoldi type algorithms for large unsymmetric multiple eigenvalue problems, Journal of Computational Mathematics，17 (3) (1999): 257-274.
A refined subspace iteration algorithm for large sparse eigenproblems, Applied Numerical Mathematics，32(1)(2000): 35-52.
Some recursions on Arnoldi's method and IOM for large non-Hermitian linear systems, Computers and Mathematics with Applications, 39 (3/4) (2000): 125-129.
Jia Z. and Elsner L., Improving eigenvectors in Arnoldi's method, Journal of Computational Mathematics, 18 (3) (2000): 365-376.
Jia Z. and Stewart G.W., An analysis of the Rayleigh-Ritz method for approximating eigenspaces, Mathematics of Computation，70(234)(2001)：637-647.
On residuals of refined projection methods for large matrix eigenproblems, Computers and Mathematics with Applications, 41 (7/8) (2001): 813-820. (SCI)
The refined harmonic Arnoldi method and an implicitly restarted refined algorithm for computing interior eigenpairs of large matrices, Applied Numerical Mathematics, 42 (4) (2002): 489-512.
Chen G. and Jia Z. A reverse order implicit Q-theorem and the Arnoldi process, Journal of Computational Mathematics, 20 (5) (2002): 519-524.
Jia Z. and Zhang Y., A refined invert-and-shift Arnoldi algorithm for large generalized unsymmetric eigenproblems, Computers and Mathematics with Applications, 44 (8/9) (2002): 1117-1127.
Jia Z. and Niu D., An implicitly restarted refined bidiagonalization Lanczos method for computing a partial singular value decomposition, SIAM Journal on Matrix Analysis and Applications, 25(1)(2003)：246-265.
Chen G and Jia Z, Theoretical and numerical comparisons of GMRES and WZ-GMRES, Computers and Mathematics with Applications, 47 (8/9) (2004):1335-1350. (SCI)
Chen G and Jia Z., An analogue of the results of Saad and Stewart for harmonic Ritz vectors, Journal of Computational and Applied Mathematics,167 (2004): 493-498.
Some theoretical comparisons of refined Ritz vectors and Ritz vectors, Science in China, Series A, 47 (Suppl.) (2004): 222-233.
Feng S. and Jia Z., A refined Jacobi-Davidson method and its correction equation, Computers and Mathematics with Applications, 49 (2/3) (2005): 417-427.
The convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors, Mathematics of Computation, 74 (251) (2005): 1441-1456.
Chen G. and Jia Z., A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm, Mathematical and Computer Modelling, 41 (2005): 615-627.
Using cross-product matrices to compute the SVD, Numerical Algorithms, 42 (1) (2006): 31-61.
Jia Z. and Sun Y., A QR decomposition based solver for the least squares problem from the minimal residual method, Journal of Computational Mathematics, 25 (5) (2007): 531-542.
贾仲孝，王震，非精确Rayleigh商迭代和非精确的简化Jacobi-Davidson方法的收敛性分析，中国科学,A辑，38 (4) (2008): 365-376. Jia Z. and Wang Z., A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem, Science in China Series A, 51 (12) (2008): 2205-2216.
Jia Z. and Zhu B., A power sparse approximate inverse preconditioning procedure for large linear systems, Numerical Linear Algebra with Applications, 16 (4) (2009): 259-299.
Applications of the Conjugate Gradient (CG) method in optimal surface parameterizations, International Journal of Computer Mathematics, 87 (5) (2010): 1032-1039.
Jia Z. and Niu D., A refined harmonic Lanczos bidiagonalization method and an implicitly restarted algorithm for computing the smallest singular triplets of large matrices, SIAM Journal on Scientific Computing, 32 (2) (2010): 714-744.
Some properties of LSQR for large sparse linear least squares problems, Journal of Systems Science and Complexity, 23 (4) (2010): 815-821.
Duan C. and Jia Z., A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems, Journal of Computational and Applied Mathematics, 234 (2010): 845-860.
E K.-W Chu, H.-Y Fan, Z. Jia, T. Li and W.-W Lin, The Rayleigh-Ritz method, refinement and Arnoldi process for periodic matrix pairs, Journal of Computational and Applied Mathematics, 235 (2011): 2626-2639.
Duan D and Jia Z., A global Arnoldi method for large non-Hermitian eigenproblems with special applications to multiple eigenproblems, Taiwanese Journal of Mathematics, 15 (4) (2011): 1497-1525.
Li B. and Jia Z., Some results on condition numbers of the scaled total least squares problems, Linear Algebra and Its Applications, 435 (3) (2011): 674—686.
On convergence of the inexact Rayleigh quotient iteration with MINRES, Journal of Computational and Applied Mathematics, 236 (2012): 4276—4295.
Jia Z. and Sun Y., SHIRRA: A refined variant of SHIRA for the Skew-Hamiltonian/Hamiltonian (SHH) pencil eigenvalue problem, Taiwanese Journal of Mathematics, 17 (1) (2013): 259-274. (SCI)
On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems, Science China Mathematics, 56 (10) (2013): 2145-2160.
Jia Z. and Li B., On the condition number of the total least squares problem, Numerische Mathematik, 125 (1) (2013): 61-87.
Jia Z. and Zhang Q., An approach to making SPAI and PSAI preconditioning effective for large irregular sparse linear systems, SIAM Journal on Scientific Computing, 35 (4) (2013): A1903-A1927.
Huang T-M, Jia Z. and Lin W-W., On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems, BIT Numerical Mathematics, 53 (4) (2013): 941-958.
Jia Z. and Zhang Q., Robust dropping criteria for F-norm minimization based sparse approximate inverse preconditioning, BIT Numerical Mathematics, 53 (4) (2013): 959-985.
Jia Z. and Li C., Inner iterations in the shift-invert residual Arnoldi method and the Jacobi--Davidson method, Science China Mathematics, 57 (8) (2014): 1733-1752.
Jia Z. and Li C., Harmonic and refined harmonic shift-invert residual Arnoldi and Jacobi--Davidson methods for interior eigenvalue problems, Journal of Computational and Applied Mathematics, 282 (2015): 83-97.
Jia Z. and Sun Y., Implicitly restarted generalized second-order Arnoldi type algorithms for the quadratic eigenvalue problem, Taiwanese Journal of Mathematics, 19 (1) (2015): 1-30.
Jia Z. and Lv H., A posteriori error estimates of Krylov subspace approximations to matrix functions, Numerical Algorithms, 69 (1) (2015): 1-28.
Jia Z., Lin W.-W and Liu C.-S. A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible M-matrix, Numerische Mathematik, 130 (4) (2015): 645-679.
Huang Y. and Jia Z., Some results on regularization of LSQR for large-scale discrete ill-posed problems, Science China Mathematics, 60 (4) (2017): 701-718. doi: 10.1007/s11425-015-0568-4.
Jia Z. and Kang WJ., A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems, Numerical Linear Algebra with Applications, 24 (2) (2017), 1-13.
Huang Y. and Jia Z., On regularizing effects of MINRES and MR-II for large-scale symmetric discrete ill-posed problems, Journal of Computational and Applied Mathematics, 320 (2017): 145-163.
Jia Z. and Yang Y., Modified truncated randomized singular value decomposition (MTRSVD) algorithms for large scale discrete ill-posed problems with general-form regularization, Inverse Problems, 34 (2018): 055013 (28pp).
Jia Z. and Kang WJ., A transformation approach that makes SPAI, PSAI and RSAI procedures efficient for large double irregular nonsymmetric sparse linear systems, Journal of Computational and Applied Mathematics, 384 (2019): 200—213.
Huang J. and Jia Z., On inner iterations of Jacobi-Davidson type methods for large SVD computations, SIAM Journal on Scientific Computing, 41 (3) (2019): A1574—A1603.
Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems, Journal of Computational and Applied Mathematics, 374 (2020): 112786.
The low rank approximations and Ritz values in LSQR for linear discrete ill-posed problems, Inverse Problems, 36 (4) 2020: 045013 (32pp).
Regularization properties of the Krylov iterative solvers CGME and LSMR for linear discrete ill-posed problems with an application to truncated randomized SVDs, Numerical Algorithms, 85 (4) 2020, 1281-1310.
Regularization properties of LSQR for linear discrete ill-posed problems in the multiple singular value and best, near best and general low rank approximations, Inverse Problems, 36 (8) (2020): 085009 (38pp).
Jia Z. and Yang Y., A joint bidiagonalization based algorithm for large scale general-form Tikhonov regularization, Applied Numerical Mathematics, 157 (2020), 159--177.
Huang J. and Jia Z., On choices of formulations of computing the generalized singular value decomposition of a matrix pair, Numerical Algorithms, 87 (2021), 689—718.
Jia Z. and Lai. F., A convergence analysis on the iterative trace ratio algorithm and its refinements,CSIAM Transactions on Applied Mathematics, 2 (2) (2121), 297–312.
Jia Z. and Wang F., The convergence of the generalized Lanczos trust-region method for the trust-region subproblem, SIAM Journal on Optimization, 31 (1) (2021), 887—914.
Jia Z. and Li H., The joint bidiagonalization process with partial reorthogonalization, Numerical Algorithms, 88 (2021), 965—992.
Theoretical and computable optimal subspace expansions for matrix eigenvalue problems, SIAM Journal on Matrix Analysis and Applications, 88(2) (2022), 965—992.
Huang J. and Jia Z., Two harmonic Jacobi--Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair, Journal of Scientific Computing, 93 (2022): 41. (29pp).
Huang J. and Jia Z., A cross-product free Jacobi--Davidson type method for computing a partial generalized singular value decomposition of a large matrix pair, Journal of Scientific Computing, 94 (2023): 3. (32pp).
Jia Z. and Li H., The joint bidiagonalization method for large GSVD computations in finite precision, SIAM Journal on Matrix Analysis and Applications, accepted, 2022.
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